Pareto optima for total weighted completion time and maximum lateness on a single machine

Two agents single machine scheduling problem with total completion time and total weighted completion time objectives

A New Branch-and-Bound for the Problem of Mean Completion Time for the Single Machine with Release Time

Preemptively scheduling a set of independent jobs with release time on one processor is a historical problem. In this paper, the same problem has been considered in which objective is to minimize the mean flow time. To prepare a perfect branch-and-bound, some optimality conditions have been represented and they have been compared with the optimality conditions which have been proposed before. O...

Minimizing total weighted completion time approximately for the parallel machine problem with a single server

In this paper, we consider the scheduling problem of minimizing total weighted job completion time when a set of jobs has to be processed on a set of m parallel identical machines with a common server. We propose an approximation algorithm with a worst-case ratio of 3− 1 m . This result improves an existing (5− 1 m ) approximation algorithm given by Wang and Cheng (2001).

An FPTAS of Minimizing Total Weighted Completion Time on Single Machine with Position Constraint

In this paper we study the classical scheduling problem of minimizing the total weighted completion time on a single machine with the constraint that one specific job must be scheduled at a specified position. We give dynamic programs with pseudo-polynomial running time, and a fully polynomial-time approximation scheme (FPTAS). 1998 ACM Subject Classification F.2.2

Online heuristic for the preemptive single machine scheduling problem of minimizing the total weighted completion time

1Laboratory of Algorithms and Technologies for Networks Analysis National Research University Higher School of Economics 136 Rodionova street, Niznhy Novgorod 603093, Russia 2Department of Industrial and Systems Engineering, University of Florida 303 Weil Hall, Gainesville, FL, 32611, USA 3Department of Operations Management & Operations Research, University of Groningen Nettelbosje 2, 9747 AE ...